Finding the Fourth Proportional to 10,096.06, 15,144.60 and 3,856.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.06 : 15,144.60 = 3,856.61 : x
2. Step 2: Convert to fraction form
   10,096.06/15,144.60 = 3,856.61/x
3. Step 3: Cross multiply
   10,096.06x = 15,144.60 × 3,856.61
4. Step 4: Simplify right side
   10,096.06x = 58,406,815.81
5. Step 5: Solve for x
   x = 58,406,815.81/10,096.06
6. Step 6: Final answer
   x = 5,785.11